2 papers
math.CO2022
On the homology of several number-theoretic set families
Marcel K. Goh, Jonah Saks
This paper describes the homology of various simplicial complexes associated to set families from combinatorial number theory, including primitive sets, pairwise coprime sets, prod…
math.CO2021
The lattice of arithmetic progressions
Marcel K. Goh, Jad Hamdan, Jonah Saks
This paper concerns the lattice of subsets of that are arithmetic progressions, under the inclusion order. For , this poset is not graded and thus n…